# Mathematics (MATH)

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## Basic Skills Courses

All courses at this level are offered for college credit. Credit for these courses will not apply toward the associate degree but will count toward the determination of a student's workload and eligibility for financial aid.

### 15A Prealgebra Refresher - 3 hours lab, 1 unit (Pass/No Pass Only)

This course is intended for students who have completed the math assessment with a level of M20 (prealgebra) and wish to improve their placement level; students who have successfully completed Prealgebra but need more review; or students who unsuccessfully attempted Beginning Algebra and need review of Prealgebra skills. The course consists of personalized computer assisted instruction to refresh those concepts identified as needed for each student. Successful completion of this course may serve as a basis for a petition to challenge a Prealgebra prerequisite. This course will not replace a failing grade in Prealgebra. Not Applicable to Associate Degree.

### 15B Elementary Algebra and Geometry Refresher - 3 hours lab, 1 unit (Pass/No Pass Only)

This course is intended for those students who have completed the math assessment with a level of M30 (beginning algebra and geometry) and wish to improve their placement level; students who have successfully completed Beginning Algebra but need more review; or students who unsuccessfully attempted Intermediate Algebra and need review of Beginning Algebra and Geometry skills. The course consists of personalized computer assisted instruction to refresh those concepts identified as needed for each student. Successful completion of this course may serve as a basis for a petition to challenge a Beginning Algebra prerequisite. This course will not replace a failing grade in Beginning Algebra. Not Applicable to Associate Degree.

### 15C Intermediate Algebra and Geometry Refresher - 3 hours lab, 1 unit (Pass/No Pass Only)

This course is intended for those students who have completed the math assessment with a level of M40 (intermediate algebra and geometry) and wish to improve their placement level; students who have successfully completed Intermediate Algebra but need more review; or students who unsuccessfully attempted a transfer level math class and need review of Intermediate Algebra and Geometry skills. The course consists of personalized computer assisted instruction to refresh those concepts identified as needed for each student. Successful completion of this course may serve as a basis for a petition to challenge an Intermediate Algebra prerequisite. This course will not replace a failing grade in Intermediate Algebra. Not Applicable to Associate Degree.

### 15D Geometry Refresher - 3 hours lab, 1 unit (Pass/No Pass Only)

This course is intended for those students who have completed a high school geometry course or for those students who have completed Intermediate Algebra and Geometry and need to review geometric principles prior to taking Math for Elementary Teachers or Trigonometry. The course consists of personalized computer assisted instruction to refresh those concepts identified as needed for each student. (FT) Not Applicable to Associate Degree.

### 15E Trigonometry Refresher - 3 hours lab, 1 unit (Pass/No Pass Only)

This course is intended for those students who have completed the math assessment with a level of M50 who need to review their Trigonometry knowledge prior to taking Precalculus or Calculus. Students begin at the level of their original placement and, working at their own pace, may improve their placement up to M60 (precalculus level). The course consists of personalized computer assisted instruction to refresh those concepts identified as needed for each student. (FT) Not applicable to the Associate Degree.

### 15F College Algebra Refresher - 3 hours lab, 1 unit (Pass/No Pass Only)

This course is intended for those students who have completed the math assessment with a level of M50 and need to review their College Algebra skills prior to taking a Calculus sequence. The course consists of personalized computer assisted instruction to refresh those concepts identified as needed for each student. Successful completion of this course may serve as a basis for a petition to challenge a College Algebra prerequisite. Students wishing to challenge Pre-calculus must also show competence in Trigonometry. (FT) Not applicable to the Associate Degree.

### 34A Basic Mathematics and Study Skills - 4 hours lecture, 4 units (Letter Grade or Pass/No Pass Option)

*(Formerly Mathematics 32)
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*Advisory:*English 42 or English for Speakers of Other Languages 31, with a grade of "C" or better, or equivalent, or Assessment Skill Levels R4 or L40.

*Limitation on Enrollment:*This course is not open to students with previous credit for Mathematics 32.

This course is an introduction to fundamental concepts of arithmetic. Emphasis is placed on addition, subtraction, multiplication, division and exponentiation on whole numbers, fractions, and decimals. Topics also include simple percents and ratios, systems of measurement, and applications of these topics. Students learn basic study skills necessary for success in mathematics courses. This course is intended for students preparing for Pre-algebra. (FT) Not applicable to the Associate Degree.

### 38 Pre-Algebra and Study Skills - 4 hours lecture, 4 units (Letter Grade or Pass/No Pass Option)

*(Formerly Mathematics 35)
*

*Advisory:*English 42 or English for Speakers of Other Languages 31 and Mathematics 34A, with a grade of "C" or better, or equivalent, or Assessment Skill Levels R4 or L40 and M20.

*Limitation on Enrollment:*This course is not open to students with previous credit for Mathematics 35.

This course is a study of the fundamentals of arithmetic operations with signed numbers, including fractions and decimals as well as an introduction to some elementary topics in beginning algebra. Topics also include ratios and proportions, perfect squares and their square roots, elementary topics in geometry, systems of measurement, and monomial arithmetic. Students learn basic study skills necessary for success in mathematics courses. This course is intended for students preparing for Beginning Algebra. (FT) Not applicable to the Associate Degree.

### 42 Fundamentals of Mathematics - 3 hours lecture, 3 units (Pass/No Pass Only)

*Advisory: *Mathematics 38 with a grade of "C" or better, or equivalent or Assessment Skill Level M30.

*Limitation on Enrollment: *This course is not open to students with previous credit for Mathematics 46, Mathematics 54, Mathematics 90, Mathematics 91 or Mathematics 95.

This course is intended for students who have not passed the California State University Entry-Level Mathematics Examination (ELM). This course reviews arithmetic and geometric concepts, and covers topics in elementary algebra including operations with polynomials, factoring, rational expressions, expressions involving radicals, solving non-linear equations, graphing linear equations, and solving linear systems of equations in two variables. Not Applicable to Associate Degree.

### 43 Algebra for Math Placement - 3 hours lecture, 3 units (Pass/No Pass Only)

*Advisory: *Mathematics 42 with a grade of "C" or better, or equivalent.

*Limitation on Enrollment: *This course is not open to students with previous credit for Mathematics 96, 100 or 91.

This course is a continuation of Mathematics 042 and is intended for those students who have not passed the California State University Entry-Level Mathematics Examination (ELM). This course is designed to prepare students for college algebra and consists of a review of intermediate algebra concepts. Topics for the class include set and function notation, simplifications and solutions to equations involving rational and radical expressions, quadratic equations and functions, complex numbers, exponential and logarithmic functions and applications. Not Applicable to Associate Degree, pre-collegiate basic skills - reading, writing, computation.

### 46 Elementary Algebra and Geometry - 5 hours lecture, 5 units (Letter Grade or Pass/No Pass Option)

*(Formerly Mathematics 95)*

*Prerequisite: *Prerequisite: Mathematics 38 with a grade of "C" or better, or equivalent, or Assessment Skill Level M30.

*Advisory: *Completion of or concurrent enrollment in: English 43 and English 48, each with a grade of "C" or better, or equivalent, or Assessment Skill Levels W4 and R5.

*Limitation on Enrollment: *This course is not open to students with previous credit for Mathematics 95 with a grade of "C" or better.

Elementary algebra and geometry serves as the foundation for the other math courses and is the first of a two-course integrated sequence in algebra and geometry intended to prepare students for transfer level mathematics. This course covers the real number system; writing, simplifying, solving and graphing of linear equations in one variable; solving linear inequalities in one variable; solving systems of linear equations in two variables; algebraic operations with polynomial expressions and factoring; functions; operations involving rational expressions and related equations; and geometric properties of lines, angles, and triangles. This course is intended for students preparing for higher-level geometry and algebra courses. (FT) Not Applicable to Associate Degree, basic skills.

## Associate Degree Credit Courses

### 85 Practical Career Mathematics - 3 hours lecture, 3 units (Grade Only)

*Prerequisite: *Mathematics 46 with a grade of "C" or better, or equivalent, or Assessment Skill Level M40.

*Advisory: *English 43 with a grade of "C" or better, or equivalent, or Assessment Skill Level W4.

This course is a study of the practical applications of linear, quadratic and exponential growth models. Topics also include statistical methods, geometry, right triangle trigonometry and finance math. This course will develop math literacy through the use of current events and real life applications. This course is designed for students who are earning an associate's degree and who are not planning to transfer to a four-year institution. (FT) AA/AS.

### 96 Intermediate Algebra and Geometry - 5 hours lecture, 5 units (Letter Grade or Pass/No Pass Option)

*Prerequisite: *Mathematics 46 with a grade of “C” or better, or equivalent, or Assessment Skill Level M40.

*Advisory: *English 48 and English 43, each with a grade of "C" or better, or equivalent, or Assessment Skill Levels R5 and W4.

Intermediate algebra and geometry is the second of a two-course integrated sequence in algebra and geometry. This course covers systems of equations and inequalities, radical and quadratic equations, quadratic functions and their graphs, complex numbers, nonlinear inequalities, exponential and logarithmic functions, conic sections, sequences and series, and solid geometry. The course also includes application problems involving these topics. This course is intended for students preparing for transfer-level mathematics courses. (FT) AA/AS.

### 98 Technical Intermediate Algebra and Geometry - 4 hours lecture, 4 units (Letter Grade or Pass/No Pass Option)

*Prerequisite: *Mathematics 46 with a grade of "C" or better, or equivalent or Assessment Skill Level M40.

*Advisory: *English 48 and English 49, each with a grade of "C" or better, or equivalent or Assessment Skill Levels R5 and W5.

This course introduces an applied technology approach to problem solving in Intermediate Algebra and Geometry, and it is intended to support the curriculum required in the Engineering and applied technologies majors. Students are expected to apply problem solving techniques to technology-based situations in their technical physics and applied technology courses. Topics include scientific notation, algebra of functions, linear systems of equations, graphing using log and semi-log paper, technology applications of quadratic, exponential and logarithmic functions, right triangle trigonometry, applications in electronics of vectors and phasors. Special emphasis will be placed on the use of the graphing calculator and mathematical software packages to solve application problems. (FT) AA/AS.

## Statistical Pathway

Math 47A, and Math 115 are a two-course sequence of courses that take a student with a Math skill level of 30 or placement into Math 46, from Beginning Algebra through a transfer level statistics course. Math 47A is a basic skills class, while Math 115 is a transfer level class that focus on statistics, data analysis, and quantitative reasoning. These are mathematics skills that are essential for a growing number of occupations and professions. This math will help students understand the world around them and it is math will use immediately. This path of courses is referred to as Statistics Pathway, (or Statway for short), and is designed for liberal arts, non-STEM social science majors (STEM= Science, Technology, Engineering and Mathematics). This pathway of courses will not satisfy any requirements for students that are planning on studying science or science related fields. Student need to make an appointment with their counselors to determine if this sequence is appropriate for them.

### 47A Beginning Algebra and Practical Descriptive Statistics - 3 hours lecture, 3 hours lab, 4 units (Grade Only)

*Prerequisite*: Mathematics 38 with a grade of “C” or better, or equivalent or Assessment Skill Level M30.

*Advisory*: Completion of or concurrent enrollment in English 43 and English 48 each with a grade of “C” or better, or equivalent or Assessment Skill Levels W4 and R5.

This course is the first of a two course sequence in the study of statistical methods integrated with algebraic tools to prepare students to analyze processes encountered in society and the workplace. The course covers an introduction to algebra and descriptive statistics in an integrated approach. Topics include data collection, organizing and interpreting data graphically, qualitative and quantitative data sets, measures of central tendency and measures of dispersion, bivariate data and scatter plots, linear functions and their graphs, nonlinear functions and their graphs, and applying technology to calculate various types of regressions. Students are expected to implement technology to perform calculations to organize data in order to make statistical conclusions. This sequence of courses is intended for students that are not planning on majoring in a science, technology, engineering, or mathematics related disciplines. This course is only basic skills/remedial. (FT) Not applicable to the Associate Degree.

### 115 Gateway to Experimental Statistics - 3 hours lecture, 3 hours lab, 4 units (Grade Only)

*Prerequisite*: Mathematics 47A with a grade of “C” or better, or equivalent Statway I.

*Advisory*: Completion of or concurrent enrollment in English 43 and English 48, each with a grade of “C” or better, or equivalent or Assessment Skill Levels W4 and R5 or English 47A with a grade of "C" or better, or equivalent or Assessment Skill Levels R5 and W5.

This course is a second in the study of statistical methods integrated with algebraic tools to prepare students to analyze these processes encountered in society and the workplace. The course covers a review of functions, their geometric properties, counting principles and probability rules, probability distribution functions, sampling, and inferential statistics of one and two variable data sets. Students are expected to implement technology to perform calculations to analyze data and make statistical conclusions. This sequence of courses is intended for students that are not planning on majoring in a science, technology, engineering or mathematics related discipline. (FT) AA/AS; CSU.

## Transfer Level Courses

### 104 Trigonometry - 3 hours lecture, 3 units (Letter Grade or Pass/No Pass Option)

*Prerequisite: *Mathematics 96 with a grade of "C" or better, or equivalent or Assessment Skill Level M50.

This course is a study of the numerical, analytical, and geometric properties of right and oblique triangles, of trigonometric and inverse trigonometric functions, and their applications. The course content includes right angle trigonometry, radian measure, circular functions, graphs of circular functions and their inverses, trigonometric identities, equations involving trigonometric and inverse trigonometric functions, an introduction of the complex plane, vectors and their operations, and the trigonometric form of complex numbers. This course is designed as a preparation for calculus and it is intended for the transfer student planning to major in mathematics, engineering, economics, or disciplines included in the physical or life sciences. (FT) AA/AS; CSU.

### 107 Introduction to Scientific Programming - 3 hours lecture, 3 units (Letter Grade or Pass/No Pass Option)

*Prerequisite: *Mathematics 96 with a grade of “C” or better, or equivalent, or Assessment Skill Level M50.

*Corequisite:* Mathematics 107L.

*Advisory: *English 48 with a grade of “C” or better, or equivalent, or Assessment Skill Level R5.

This course is an introduction to mathematical and scientific problem-solving on a computer; focusing on designing algorithms of a high level programming language. Extensive programming is required. Students are expected to plan and write programming projects with documentation. This course is recommended for students transferring to majors in Computer Science and/or mathematics. (FT) AA/AS; CSU; UC.

### 107L Introduction to Scientific Programming Lab - 3 hours lab, 1 unit (Letter Grade or Pass/No Pass Option)

*Corequisite: *Mathematics 107.

Extensive programming is required. Students are expected to plan and write programming projects with documentation. This course is recommended for students transferring to majors in Computer Science and/or mathematics. (FT) AA/AS; CSU.

### 116 College and Matrix Algebra - 3 hours lecture, 3 units (Letter Grade or Pass/No Pass Option)

*Prerequisite: *Mathematics 96 with a grade of "C" or better, or equivalent, or Assessment Skill Level M50.

This course is designed to strengthen the algebra skills of students seeking Business or Natural Science degrees who are required to take an applied calculus course. Topics in the course include the theory of functions; graphing functions; exponential and logarithmic functions; solving equations involving algebraic, exponential and logarithmic functions; solving systems of linear equations; matrix algebra; linear programming; modeling; and applications problems. Analytical reading and problem solving skills are required for success in this course. (FT) AA/AS; CSU; UC Transfer Limitation: Mathematics (MATH) 116 and 141 combined: maximum credit, one course.

### 118 A Survey of Modern Mathematics - 3 hours lecture, 3 units (Letter Grade or Pass/No Pass Option)

*Prerequisite:* Mathematics 96 with a grade of “C” or better, or equivalent, or Assessment Skill Level M50.

*Advisory:* English 101 with a grade of “C” or better, or equivalent, or Assessment Skill Levels R6 and W6. This course covers topics in probability, statistics, logical reasoning, quantitative literacy, the history of mathematics, and applications of mathematics to the real world. This course is designed for students who do not intend to prepare for a career/ major in science, business, math, technology, and engineering. Analytical reading and problem solving are required for success in this course. (FT) AA/AS; CSU.

### 119 Elementary Statistics - 3 hours lecture, 3 units (Letter Grade or Pass/No Pass Option)

*Prerequisite: * Mathematics 92 or Mathematics 96, each with a grade of “C” or better, or equivalent or Assessment Skill Levels M45 or M50.

This course covers descriptive and inferential statistics. The descriptive portion analyzes data through graphs, measures of central tendency and spread. Other statistical practices utilize basic probability, binomial and normal distributions, estimation of population parameters, hypothesis testing, linear regression and correlation. Analytical reading and problem solving are required for success in this course. This course is intended for students interested in statistical analysis or need a transfer math course. (FT) AA/AS; CSU; UC Transfer Limitation: Mathematics (MATH) 119, Biology (BIOL) 200, or Psychology (PSYC) 258 combined: maximum credit, one course.

### 121 Basic Techniques of Applied Calculus I - 3 hours lecture, 3 units (Letter Grade or Pass/No Pass Option)

*Prerequisite: *Mathematics 116 with a grade of "C" or better, or equivalent.

This course examines the study of calculus using numerical, graphical, and analytical methods to analyze calculus problems encountered in real-world applications in business, natural/life sciences, and social sciences. Topics include limits, derivatives, and integrals of algebraic, exponential, and logarithmic functions, curve sketching, optimization, and areas under and between curves and partial derivatives and optimization of multivariable functions. This is the first course in a sequence of mathematics courses for students intending to major in business, economics, or natural and social sciences. (FT) AA/AS; CSU; UC Transfer Limitation: Mathematics (MATH) 121 and 150 combined: maximum credit, one course.

### 122 Basic Techniques of Calculus II - 3 hours lecture, 3 units (Letter Grade or Pass/No Pass Option)

*Prerequisite: *Mathematics 121 with a grade of "C" or better, or equivalent.

This second course in a math sequence covers methods of integration, multivariable functions and optimization problems, differential equations, Taylor series development and application, derivatives and integrals of trigonometric functions, and their usage in solving problems encountered in real-world applications in business, life and social sciences and economics. It is intended for students majoring in business, natural science, social science and economics. AA/AS; CSU; UC Transfer Limitation: Mathematics (MATH) 122 and 151 combined: maximum credit, one course.

### 141 Precalculus - 5 hours lecture, 5 units (Letter Grade or Pass/No Pass Option)

*Prerequisite: *Mathematics 104 with a grade of "C" or better, or equivalent.

This course is a study of numerical, analytical, and graphical properties of functions. The course content includes polynomial, rational, irrational, exponential, logarithmic, and trigonometric functions. Additional topics include: inverse functions, complex numbers, polar coordinates, matrices, conic sections, sequences, series and the binomial theorem. This course is designed as a preparation for calculus and is intended for the transfer student planning to major in mathematics, engineering, economics, or disciplines included in the physical or life sciences. (FT) AA/AS; CSU; UC Transfer Limitation: Mathematics (MATH) 116 and 141 combined: maximum credit, one course.

### 150 Calculus with Analytic Geometry I - 5 hours lecture, 5 units (Letter Grade or Pass/No Pass Option)

Prerequisite: Mathematics 141 with a grade of “C” or better, or equivalent. This course is an introduction to university-level calculus requiring a strong background in algebra and trigonometry. The topics of study include analytic geometry, limits, differentiation and integration of algebraic and transcendental functions, and applications of derivatives and integrals. Emphasis is placed on calculus applications involving motion, optimization, graphing, and applications in the physical and life sciences. This course incorporates the use of technology. Analytical reading and problem solving are strongly emphasized in this course. This course is intended for students majoring in mathematics, computer science, physics, chemistry, engineering, or economics. AA/AS; CSU; UC Transfer Limitation; Mathematics (MATH) 121 and 150 combined:

maximum credit, one course.

### 150L Calculus I Laboratory - 3 hours lab, 1 unit (Letter Grade or Pass/No Pass Option)

*Prerequisite: *Mathematics 141 with a grade of "C" or better, or equivalent.

*Corequisite:* Mathematics 150.

This course is a workshop, project-oriented course dealing with exploration and development of the calculus topics introduced in Calculus and Analytic Geometry I. This course directly supports the calculus lectures by having hands-on, collaborative assignments where technology is strongly incorporated throughout all the in-class assignments. Students work individually and in small groups on explorations and applications thus extending the material presented in Mathematics 150. Topics including geometric, analytic and numeric applications of limits, derivatives and integrals as well as calculus applications found in the physical and life sciences. This course is intended for all students currently enrolled in Mathematics 150. (FT) AA/AS; CSU; UC.

### 151 Calculus with Analytic Geometry II - 4 hours lecture, 4 units (Letter Grade or Pass/No Pass Option)

*Prerequisite: *Mathematics 150 with a grade of “C” or better, or equivalent.

This is the second course in the calculus and analytic geometry sequence. This course covers more advanced topics in analytic geometry, differentiation and integration of algebraic and transcendental functions, infinite series, Taylor series, and parametric equations. This course also covers a general introduction to the theory and applications of power series, techniques of integration, and functions in polar coordinates, as it serves as a basis for multivariable calculus and differential equations, as well as most upper division courses in mathematics and engineering. This course is intended for the transfer student planning to major in mathematics, computer science, physics, chemistry, engineering or economics. (FT) AA/AS; CSU; UC Transfer Limitation: Mathematics (MATH) 122 and 151 combined: maximum credit, one course.

### 181 Mecomtronics College Algebra and Trigonometry I - 3 hours lecture, 3 units (Grade Only)

*Prerequisite: *Mathematics 96 with a grade of "C" or better, or equivalent, or Assessment Skill Level M50.

*Advisory:* This course is intended for students enrolled in the first semester Engineering Technology/ Mecomtronics program.

This course is the first semester of a four-semester sequence in applied college algebra and trigonometry, and applied technical calculus. Students are expected to apply the mathematical problem solving techniques developed in this course in the real world situations presented and discussed in the program's technology and science courses. Topics include the algebra of functions, graphing algebraic functions, exponential and logarithmic functions, linear systems of equations, matrices and matrix operations, trigonometric functions and their graphs, trigonometric identities, complex numbers, vector algebra, descriptive statistics, an introduction to series and summation notation, an introduction to Boolean algebra and symbolic logic, and the use of the graphing calculator to solve application problems. (FT) AA/AS; CSU.

### 182 Mecomtronics College Algebra and Trigonometry II - 3 hours lecture, 3 units (Grade Only)

*Prerequisite: *Mathematics 181 with a grade of "C" or better, or equivalent.

*Advisory:* This course is intended for students enrolled in the second semester Engineering Technology/ Mecomtronics program.

This course is the second semester of a four semester sequence in applied college algebra and trigonometry, and applied technical calculus. Students are expected to implement the mathematical problem solving techniques developed in this course in the real world situations presented and discussed in the Mecomtronics technology and science courses. Topics covered are a continuation of those introduced in Mathematics 181. Topics include applications of exponential and logarithmic functions, graphs of trigonometric functions, inverse trigonometric functions, Riemann sums, polynomial approximations of special transcendental functions, vector algebra, spherical and cylindrical coordinates, conic sections, the binomial theorem, an introduction to Boolean algebra and symbolic logic, and the use of the graphing calculator to solve application problems. (FT) AA/AS; CSU.

### 183 Mecomtronics Calculus I - 3 hours lecture, 3 units (Grade Only)

*Prerequisite: *Mathematics 182 with a grade of "C" or better, or equivalent.

*Advisory:* This course is intended for students enrolled in the third semester Engineering Technology/ Mecomtronics program.

This course is the third semester of a four-semester sequence in applied college algebra and trigonometry, and applied technical calculus. Students are expected to implement the mathematical problem solving techniques developed in this course in the real world situations presented and discussed in the Engineering Technology/ Mecomtronics program's technology and science courses. Topics include limits, continuity, differentiation of algebraic and transcendental functions, an introduction to multivariable functions and their partial derivatives, Riemann sums, integration by substitution and by parts, separable and linear first order differential equations, applications in technology and physics, and the use of the graphing calculator to solve application problems. (FT) AA/AS; CSU.

### 210A Concepts of Elementary School Mathematics I - 3 hours lecture, 3 units (Grade Only)

*Prerequisite: *Mathematics 96 with a grade of “C” or better, or equivalent, or Assessment Skill Level M50.

*Advisory:* English 101 with a grade of “C” or better, or equivalent or Assessment Skill Level R6 and W6 or English 105 with a grade of “C” or better, or equivalent.

This course is a study of the mathematical concepts needed for teaching elementary school mathematics with emphasis on number and function. This course promotes an appreciation of the importance of logical thinking and applications of mathematics in problem solving and critical thinking. It studies the basic computational skills, but also requires the understanding and explanation of the basic mathematical concepts and the connections between them. It is designed especially for students preparing for credentials in elementary education. Analytical reading and problem solving are required for success in this course. (FT) AA/AS; CSU; UC Transfer Limitation: Mathematics (MATH) 210A and 210B combined: maximum credit, one course.

### 210B Concepts of Elementary School Mathematics II - 3 hours lecture, 3 units (Grade Only)

*Prerequisite: *Mathematics 210A with a grade of "C" or better, or equivalent.

*Advisory:* English 101 or English 105, each with a grade of "C" or better, or equivalent or Assessment Skill Levels R6 and W6.

This course is the second course in a one-year sequence in the study of the mathematical concepts needed for teaching elementary school mathematics with emphasis on geometry, transformational geometry, and measurement. This course also promotes an appreciation of the importance of logical thinking and applications of mathematics in problem solving and critical thinking. It studies the understanding and explanation of the basic mathematical concepts and the connections between them. It is designed especially for students preparing for credentials in elementary education. Analytical reading and problem solving are required for success in this course. (FT) AA/AS; CSU; UC Transfer Limitation: Mathematics (MATH) 210A and 210B combined: maximum credit, one course.

### 212 Children's Mathematical Thinking - 1 hour lecture, 1 unit (Grade Only)

*Corequisite: *Completion of or concurrent enrollment in: Mathematics 210A with a grade of "C" or better, or equivalent..

*Advisory:* English 101 or English 105, with a grade of "C" or better, or equivalent, or Assessment Skill Levels W6 and R6.

This course focuses on children's mathematical thinking and includes an in-depth study of place-value, fractions and how children solve mathematical problems. Students observe children and evaluate the problem strategies that are used. This course is intended for students pursuing a Multiple Subject Credential. (FT) AA/AS; CSU.

### 245 Discrete Mathematics - 3 hours lecture, 3 units (Letter Grade or Pass/No Pass Option)

*Prerequisite:* Mathematics 122 or Mathematics 151, each with a grade of “C” or better, or equivalent.

*Advisory: *English 101 with a grade of "C" or better, or equivalent or Assessment Skill Levels R6 and W6.

This course is an introduction to the theory of discrete mathematics and introduces elementary concepts in logic, set theory, and number theory. The topics covered include prepositional and predicate logic, methods of proof, set theory, Boolean algebra, number theory, equivalence and order relations, and functions. This course forms a basis for upper division courses in mathematics and computer science and it is intended for the transfer student planning to major in these disciplines. (FT) AA/AS; CSU; UC.

### 252 Calculus with Analytic Geometry III - 4 hours lecture, 4 units (Grade Only)

*Prerequisite: *Mathematics 151 with a grade of "C" or better, or equivalent.

The content of this course includes the algebra and geometry of 2 and 3 dimensional Euclidean vectors, the algebra and calculus of multivariable functions including composition of functions, limits, continuity, partial differentiation, gradients, higher order derivatives, the chain rule, constrained and unconstrained optimization including Lagrange's theorem, multiple integrals, integrals over paths and surfaces, and integral theorems of vector analysis. This course is intended as a general introduction to the theory and applications of multivariable calculus. This course is essential for most upper division courses in mathematics and forms part of the foundation for engineering and physics. This course is intended for the students interested and/or planning to major in mathematics, physics, astronomy, engineering, computer science, physical chemistry, operational research, or economics. (FT) AA/AS; CSU; UC.

### 254 Introduction to Linear Algebra - 3 hours lecture, 3 units (Letter Grade or Pass/No Pass Option)

*Prerequisite: *Mathematics 151 with a grade of "C" or better, or equivalent.

This course serves as an introduction to the theory and applications of elementary linear algebra, and is the basis for most upper division courses in mathematics. The topics covered in this course include matrix algebra, Gaussian Elimination, systems of equations, determinants, Euclidean and general vector spaces, linear transformations, orthogonality and inner product spaces, bases of vector spaces, the Change of Basis Theorem, eigenvalues, eigenvectors, the rank and nullity of matrices and introduction to linear transformations. This course is intended for the transfer student planning to major in mathematics, physics, engineering, computer science, operational research, economics, or other sciences. (FT) AA/AS; CSU; UC.

### 255 Differential Equations - 3 hours lecture, 3 units (Grade Only)

*Prerequisite: *Mathematics 252 and Mathematics 254, each with a grade of “C” or better, or equivalent.

*Limitation on Enrollment: *This course is not open to students with credit for Mathematics 253.

This course covers first order and higher order equations and their applications. Topics include linear first order and higher order equations, homogeneous and nonhomogeneous equations with constant or variable coefficients, and systems of ordinary differential equations. Methods used to solve equations include substitution methods, integrating factors, reduction of order, variation of parameters, power series solutions, and Laplace Transforms. This course is intended as an introduction to the theory and applications of differential equations and is the basis for many upper division courses in engineering, physics, and mathematics. It is intended for the transfer student planning to major in mathematics, engineering, operational research, physics, or other physical science. (FT) AA/AS; CSU; UC.

### 290 Independent Study - Hours by Arrangement, 1-3 units (Letter Grade or Pass/No Pass Option)

*Limitation on Enrollment: *Must obtain an Add Code from instructor for registration.

This course is for advanced students who wish to pursue special investigations. AA/AS; CSU.

**This discipline may offer specialized instruction in one or more of the following areas: Supervised Tutoring (044), Experimental Topics (265), Independent Study (290), Individualized Instruction (296), Service Learning (277), or Work Experience (270). Detailed course descriptions are listed on page page 124. Please refer to the class schedule and/or see the dean or department chair for availability.**